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centered pentagonal number : ウィキペディア英語版
centered pentagonal number

A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for ''n'' is given by the formula
: \over 2}.
The first few centered pentagonal numbers are
1, 6, 16, 31, 51, 76,
106, 141, 181, 226, 276,
331, 391, 456, 526, 601,
681, 766, 856, 951, 1051, 1156, 1266, 1381, 1501, 1626, 1756, 1891, 2031, 2176, 2326, 2481, 2641, 2806, 2976 }.
The parity of centered pentagonal numbers follows the pattern even-even-odd-odd, and in base 10 the units follow the pattern
6-6-1-1.
==See also==

*Pentagonal number
*Polygonal number
*Centered polygonal number

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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